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Finding the Fourth Proportional to 6,117.43, 9,161.43 and 4,238.14

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Solution

The fourth proportional to 6,117.43, 9,161.43 and 4,238.14 is: 6,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.43 : 9,161.43 = 4,238.14 : x
  2. Step 2: Convert to fraction form
    6,117.43/9,161.43 = 4,238.14/x
  3. Step 3: Cross multiply
    6,117.43x = 9,161.43 × 4,238.14
  4. Step 4: Simplify right side
    6,117.43x = 38,827,422.94
  5. Step 5: Solve for x
    x = 38,827,422.94/6,117.43
  6. Step 6: Final answer
    x = 6,347.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.